Behavioral analytics functions for DuckDB, inspired by ClickHouse.
Quick Start • Functions • Examples • Performance • Documentation
Provides sessionize, retention, window_funnel, window_funnel_events,
sequence_match, sequence_count, sequence_match_events, and
sequence_next_node as a loadable
DuckDB extension written in Rust. Complete
ClickHouse
behavioral analytics parity.
Personal Project Disclaimer: This is a personal project developed on my own time. It is not affiliated with, endorsed by, or related to my employer or professional role in any way.
AI-Assisted Development: Built with Claude (Anthropic). Correctness is validated by automated testing — not assumed from AI output. See Quality.
- Quick Start
- Functions
- Examples
- Integrations
- Performance
- Community Extension
- Quality
- ClickHouse Parity Status
- Building
- Development
- Documentation
- Known Limitations
- Requirements
- License
-- Install from the DuckDB Community Extensions repository
INSTALL behavioral FROM community;
LOAD behavioral;Or build from source (DuckDB loads only .duckdb_extension files that carry
its metadata footer; make adds it):
git submodule update --init --recursive
make configure release
duckdb -unsigned -c "LOAD 'build/release/behavioral.duckdb_extension'; SELECT behavioral_version();"Verify it works — run these after loading:
-- Session IDs (should return 1, 1, 2)
SELECT sessionize(ts, INTERVAL '30 minutes') OVER (ORDER BY ts) AS session_id
FROM (VALUES (TIMESTAMP '2024-01-01 10:00'), (TIMESTAMP '2024-01-01 10:10'),
(TIMESTAMP '2024-01-01 12:00')) t(ts);
-- Retention (should return [true, false])
SELECT retention(true, false);
-- Funnel progress (should return 2: one event satisfying conditions 1 and 2
-- fills both steps, as in ClickHouse)
SELECT window_funnel(INTERVAL '1 hour', TIMESTAMP '2024-01-01', true, true, false);| Function | Signature | Returns | Description |
|---|---|---|---|
sessionize |
(TIMESTAMP, INTERVAL) |
BIGINT |
Window function assigning session IDs based on inactivity gaps |
retention |
(BOOLEAN, BOOLEAN, ...) |
BOOLEAN[] |
Cohort retention analysis |
window_funnel |
(INTERVAL [, VARCHAR], TIMESTAMP, BOOLEAN, ...) |
INTEGER |
Conversion funnel step tracking with 6 combinable modes |
window_funnel_events |
(INTERVAL [, VARCHAR], TIMESTAMP, BOOLEAN, ...) |
TIMESTAMP[] |
Timestamps of the best funnel chain |
sequence_match |
(VARCHAR, TIMESTAMP, BOOLEAN, ...) |
BOOLEAN |
Pattern matching over event sequences |
sequence_count |
(VARCHAR, TIMESTAMP, BOOLEAN, ...) |
BIGINT |
Count non-overlapping pattern matches |
sequence_match_events |
(VARCHAR, TIMESTAMP, BOOLEAN, ...) |
LIST(TIMESTAMP) |
Return matched condition timestamps |
sequence_next_node |
(VARCHAR, VARCHAR, TIMESTAMP, VARCHAR, BOOLEAN, ...) |
VARCHAR |
Next event value after pattern match |
Condition limits: window_funnel / window_funnel_events take 1 to 32
conditions, retention and the sequence_* pattern functions 2 to 32, and
sequence_next_node a base condition plus 1 to 32 event conditions.
behavioral_version() returns the loaded extension version for diagnostics.
Invalid configuration (unknown modes, malformed patterns, out-of-range
condition numbers, month-based intervals) raises descriptive SQL errors
instead of silently wrong results.
Results are deterministic under parallel execution: events sort with total
tie-breaking keys, so thread count and row order never change a result (in two
places ClickHouse's results do depend on row order; see
ClickHouse Parity). Gaps touching DuckDB's
±infinity timestamps are computed exactly instead of wrapping.
Detailed documentation, examples, and edge case behavior for each function:
Function Reference
| I want to... | Use |
|---|---|
| Break events into sessions by inactivity gap | sessionize |
| Check if users returned in later time periods | retention |
| Measure how far users get through ordered steps | window_funnel |
| See when each funnel step happened | window_funnel_events |
| Detect whether a pattern of events occurred | sequence_match |
| Count how many times a pattern occurred | sequence_count |
| Get timestamps of each matched pattern step | sequence_match_events |
| Find what happened immediately after/before a pattern | sequence_next_node |
Track how far users progress through a purchase flow within 1 hour:
SELECT user_id,
window_funnel(INTERVAL '1 hour', event_time,
event_type = 'page_view',
event_type = 'add_to_cart',
event_type = 'checkout',
event_type = 'purchase'
) as furthest_step
FROM events
GROUP BY user_id;Assign session IDs with a 30-minute inactivity gap, then compute metrics:
WITH sessionized AS (
SELECT user_id, event_time,
sessionize(event_time, INTERVAL '30 minutes') OVER (
PARTITION BY user_id ORDER BY event_time
) as session_id
FROM events
)
SELECT user_id, session_id,
COUNT(*) as page_views,
MIN(event_time) as session_start,
MAX(event_time) as session_end
FROM sessionized
GROUP BY user_id, session_id;Measure week-over-week retention for signup cohorts:
SELECT cohort_week,
COUNT(*) as cohort_size,
SUM(CASE WHEN r[1] THEN 1 ELSE 0 END) as week_0,
SUM(CASE WHEN r[2] THEN 1 ELSE 0 END) as week_1,
SUM(CASE WHEN r[3] THEN 1 ELSE 0 END) as week_2
FROM (
SELECT user_id, cohort_week,
retention(
activity_date >= cohort_week AND activity_date < cohort_week + INTERVAL '7 days',
activity_date >= cohort_week + INTERVAL '7 days' AND activity_date < cohort_week + INTERVAL '14 days',
activity_date >= cohort_week + INTERVAL '14 days' AND activity_date < cohort_week + INTERVAL '21 days'
) as r
FROM activity GROUP BY user_id, cohort_week
)
GROUP BY cohort_week ORDER BY cohort_week;Find users who viewed then purchased within 1 hour:
SELECT user_id,
sequence_match('(?1).*(?t<=3600)(?2)', event_time,
event_type = 'page_view',
event_type = 'purchase'
) as converted_within_hour
FROM events GROUP BY user_id;Aggregate funnel results into a conversion report:
WITH funnels AS (
SELECT user_id,
window_funnel(INTERVAL '1 hour', event_time,
event_type = 'page_view', event_type = 'add_to_cart',
event_type = 'checkout', event_type = 'purchase'
) as step
FROM events GROUP BY user_id
)
SELECT step as reached_step,
COUNT(*) as users,
ROUND(100.0 * COUNT(*) / SUM(COUNT(*)) OVER (), 1) as pct
FROM funnels GROUP BY step ORDER BY step;Discover what page users visit after Home → Product. The inner query
computes one next page per user; the outer query counts users per page
(without the inner GROUP BY user_id, all users' events would form one
sequence):
SELECT next_page, COUNT(*) AS user_count
FROM (
SELECT user_id,
sequence_next_node('forward', 'first_match', event_time, page,
page = 'Home', page = 'Home', page = 'Product') AS next_page
FROM events
GROUP BY user_id
)
GROUP BY next_page
ORDER BY user_count DESC;Count how many times users repeat a view → cart cycle:
SELECT user_id,
sequence_count('(?1).*(?2)', event_time,
event_type = 'page_view',
event_type = 'add_to_cart'
) as view_cart_cycles
FROM events GROUP BY user_id ORDER BY view_cart_cycles DESC;Get the exact timestamps when each funnel step was satisfied:
SELECT user_id,
sequence_match_events('(?1).*(?2).*(?3)', event_time,
event_type = 'page_view',
event_type = 'add_to_cart',
event_type = 'purchase'
) as step_timestamps
FROM events GROUP BY user_id;For 5 complete real-world examples with sample data, see Use Cases. For a comprehensive recipe collection, see SQL Cookbook.
import duckdb
conn = duckdb.connect()
conn.execute("INSTALL behavioral FROM community")
conn.execute("LOAD behavioral")
df = conn.execute("""
SELECT user_id,
window_funnel(INTERVAL '1 hour', event_time,
event_type = 'view', event_type = 'cart', event_type = 'purchase'
) as steps
FROM events GROUP BY user_id
""").fetchdf()const duckdb = require('duckdb');
const db = new duckdb.Database(':memory:');
db.run("INSTALL behavioral FROM community");
db.run("LOAD behavioral");# profiles.yml
my_project:
outputs:
dev:
type: duckdb
extensions:
- name: behavioral
repo: community-- Query any file format directly
SELECT user_id,
window_funnel(INTERVAL '1 hour', event_time,
event_type = 'view', event_type = 'purchase')
FROM read_parquet('events/*.parquet')
GROUP BY user_id;All measurements below are Criterion.rs 0.8.2 microbenchmarks of the Rust
state machines (not SQL queries) with 95% confidence intervals, recorded in
PERF.md Session 15, before v0.8.0. They have not been re-measured
since: v0.8.0 changed hot paths, and the window_funnel engine was replaced
with ClickHouse's algorithm in this release (in an interleaved before/after
run its finalize benchmark ranged from no measurable change to ~16% slower,
see CHANGELOG.md).
| Function | Scale | Wall Clock | Throughput |
|---|---|---|---|
sessionize |
1 billion | 1.20 s | 830 Melem/s |
retention (combine) |
100 million | 274 ms | 365 Melem/s |
window_funnel |
100 million | 791 ms | 126 Melem/s |
sequence_match |
100 million | 1.05 s | 95 Melem/s |
sequence_count |
100 million | 1.18 s | 85 Melem/s |
sequence_match_events |
100 million | 1.07 s | 93 Melem/s |
sequence_next_node |
10 million | 546 ms | 18 Melem/s |
Key design choices:
- 16-byte
Copyevents withu32bitmask conditions — four events per cache line, zero heap allocation per event - O(1) combine for
sessionizeandretentionvia boundary tracking and bitmask OR - In-place combine for event-collecting functions — O(N) amortized instead of O(N^2) from repeated allocation
- Sequence fast paths — common pattern shapes dispatch to specialized O(n) linear scans; every other pattern uses a feasibility pass plus a greedy walk, O(s · n log n), replacing a backtracking search that was quadratic per group
- Presorted detection — O(n) check skips O(n log n) sort when events arrive in timestamp order
Optimization highlights:
| Optimization | Speedup | Technique |
|---|---|---|
| Event bitmask | 5–13x | Vec<bool> replaced with u32 bitmask, enabling Copy semantics |
| In-place combine | up to 2,436x | O(N) amortized extend instead of O(N^2) merge-allocate |
| NFA lazy matching | 1,961x at 1M events | Swapped exploration order so .* tries advancing before consuming |
Arc<str> values |
1.8–5.8x | Reference-counted strings for O(1) clone in sequence_next_node |
| NFA fast paths | 39–60% | Pattern classification dispatches common shapes to O(n) linear scans |
Five attempted optimizations were measured, found to be regressions, and reverted.
All negative results are documented in PERF.md.
Full methodology, per-session optimization history with confidence intervals, and
reproducible benchmark instructions: PERF.md.
This extension is listed in the DuckDB Community Extensions repository ( Read the rest on GitHub
Scan report · 2026-10-03
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From the balcony · 1 of 4 clapped
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No vulnerable dependencies (0/211), clear local-only analytics extension with no telemetry or credential requests, and transparent about AI assistance with testing validation.
Princess, Schnitzel and Cap'm Slop read it and passed. Their reasons are on the balcony, with every other verdict.
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